Question

I NEED HELP PLS HURRY

1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7

Answer 1

We use the rule,

`(a^b)^c = a^(bc)`

a. (10^7)²

`(10^7)^2 = 10^((7)(2)) = 10^(14)`

10^14

b. (10^9)³

`(10^9)^3 = 10^((9)(3)) = 10^(27)`

10^27

c. (10^6)³

`10^((6)(3))= 10^(18)`

10^18

d. (10^2)³

`10^((2)(3)) = 10^(6)`

10^6

e. (10³)²

`10^((3)(2))=10^(6)`

10^6

f. (10^5)^7

`10^((5)(7)) = 10^(35)`

10^35

Explanation:

Answer 2

a. 10^14
b. 10^27
c. 10^18
d. 10^6
e. 10^6
f. 10^35

multiply the exponents.